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Simplifying 16 + 2k = 5k + -35 Reorder the terms: 16 + 2k = -35 + 5k Solving 16 + 2k = -35 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 16 + 2k + -5k = -35 + 5k + -5k Combine like terms: 2k + -5k = -3k 16 + -3k = -35 + 5k + -5k Combine like terms: 5k + -5k = 0 16 + -3k = -35 + 0 16 + -3k = -35 Add '-16' to each side of the equation. 16 + -16 + -3k = -35 + -16 Combine like terms: 16 + -16 = 0 0 + -3k = -35 + -16 -3k = -35 + -16 Combine like terms: -35 + -16 = -51 -3k = -51 Divide each side by '-3'. k = 17 Simplifying k = 17
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